What is the 8013th prime number?
The 8013th prime number is 81943. The next prime is 81953 (a gap of 10) and the one before is 81937.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 8013th one is 81943.
- 2
81943 is prime because no prime up to ā81943 ā 286.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8013th prime is close to 8013 Ć ln(8013) ā 72027, and here it is 81943.
- 4
81943 has no twin: neither 81941 nor 81945 is prime.
Primes around the 8013th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8010 | 81929 | 10 |
| 8011 | 81931 | 2 |
| 8012 | 81937 | 6 |
| 8013 | 81943 | 6 |
| 8014 | 81953 | 10 |
| 8015 | 81967 | 14 |
| 8016 | 81971 | 4 |
Questions
What is the 8013th prime number?
81943.
Which prime number is 81943?
81943 is the 8013th prime number.
What is the sum of the first 8013 primes?
310,741,908.